Re: A polynomial question

Ralf Hemmecke <[email protected]>
Newsgroups gmane.comp.mathematics.axiom.user
Message-ID <[email protected]>
 > Axiom does not have an polynomial type having symbolic exponents.

Hmmm, that is sad. The definitions of GDMP are too restrictive.

GeneralDistributedMultivariatePolynomial(vl,R,E): public == private where
   vl: List Symbol
   R: Ring
   E: DirectProductCategory(#vl,NonNegativeInteger)
   OV  ==> OrderedVariableList(vl)
   SUP ==> SparseUnivariatePolynomial
   NNI ==> NonNegativeInteger

If the type of E where something that just says that E basically is a 
monoid (not necessarily a tuple of integers), then one could also 
construct more fancy kinds of polynomials.

LibAlgebra is a bit more careful in this case and introduces an extra 
ExponentCategory (basically like Monoid).

Well, well, the axiom library must be re-thought.

Ralf
lmpx.com only provides a reader for public news (NNTP) servers. It is not affiliated with the servers or forums shown here and is not responsible for the content of articles, which is written by their respective authors.